101531249 has 2 divisors, whose sum is σ = 101531250. Its totient is φ = 101531248.

The previous prime is 101531203. The next prime is 101531273. The reversal of 101531249 is 942135101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63091249 + 38440000 = 7943^2 + 6200^2 .

It is a cyclic number.

It is not a de Polignac number, because 101531249 - 2²⁰ = 100482673 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101530249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50765624 + 50765625.

It is an arithmetic number, because the mean of its divisors is an integer number (50765625).

Almost surely, 2^101531249 is an apocalyptic number.

It is an amenable number.

101531249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101531249 is an equidigital number, since it uses as much as digits as its factorization.

101531249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101531249 is about 10076.2715822868. The cubic root of 101531249 is about 466.5160354546.

The spelling of 101531249 in words is "one hundred one million, five hundred thirty-one thousand, two hundred forty-nine".